lots of words and means just Dead PC. fans spin.
HP model number HP touchsmart. (no model stated at all)
its dead PC and screen is dead.
most PCs from HP have external display port.
of some kind, Display port or others, the manual covers this but your PC model was not told nor service tag model. told.
The PC is dead, and seems the power button is bad too.
here are some steps used on all laptops
1: remove the huge battery in the lap top, do not make excuses how hard it is to unplug , you bought it so do what must be done,
2: use the AC power pack only, (unpugged for 1hour first)
then plug it in, this pack
3: the PC must not self turn on. so push the power button now see it manually turns on.
4 the BIOS HP logo page shows and BIOS screens work like ESC, F10, F11,
5: if screen is still dead, use the external monitor port and
the Fn+F4 button as the manual tells you to do.
no PC stated at all not even class of PC, desk or laptop. and no parts are free.
the TOUCHSMART word does not tell what you own
that name used back to 2007, 13 years long.
IS THIS AND AIO all in one PC,?
does it have a power pack that in in the line cord
is it the right pack for the AIO>?
AIO PCs only have a few parts inside that are standard, RAM and HDD, all else is HP custom, making them as hard to repair as laptops, lacking those parts custom.
first learn to identify a PC first then tinker.
see examples below.